The chromaticity diagram associated with the CIE 1931 color matching functions is shown to be slightly non-convex. While having no impact on practical colorimetric computations, the non-convexity does have a significant impact on the shape of some optimal object color reflectance distributions associated with the outer surface of the object color solid. Instead of the usual two-transition Schr\"odinger form, many optimal colors exhibit higher transition counts. A linear programming formulation is developed and is used to locate where these higher-transition optimal object colors reside on the object color solid surface.

翻译：与 CIE 1931 色彩匹配函数相关的色度图显示为略微非色调。 虽然对实际的色度计算没有影响, 但非色度确实对与物体外表颜色固体相关的某些最佳对象颜色反射分布的形状有重大影响。 许多最佳颜色表象不是通常的双向偏移 Schr\'odinger 格式, 而是显示较高的过渡值。 正在开发线性编程配制, 用于定位物体表面的这些高偏移最佳对象颜色。